Questions tagged [game-theory]

For questions regarding the use of the mathematical theory of games (Von Neumann, Morgenstern, Nash etc) in AI. For questions about the use of AI in game design and gaming, use [gaming].

21 questions with no upvoted or accepted answers
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What is the state of the art AI training technique for imperfect information 2 player turn based games?

As far as I can tell (correct me if I'm wrong), Alphazero (with MCTS and neural network heuristic function RL) is the state of the art training method for turn based, deterministic, perfect ...
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55 views

Negative counterfactual regret

I am reading the paper Regret Minimization in Games with Incomplete Information on CFR algorithm. On page 4, the paper defines $R^{T,+}_{i,\text{imm}}=\max\{R^{T}_{i,\text{imm}}, 0\}$ after equation (...
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29 views

Impact or applications of introducing attention in deep networks modelling multi-agent systems

I have been reading quite a lot about the research progress in the domain of self attention-based neural networks that were introduced by Google Inc. in their paper titled "Attention is all you ...
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26 views

Understanding the nature of psychological defense system by artificial intelligence

Do you think psychological defense system, for example, repression, regression, reaction, formation, isolation, undoing, projection, introjection, sublimation, etc., could be created by artificial ...
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53 views

What is the difference between evolutionary game theory and meta-heuristics?

Here is a list of meta-heuristic algorithms Ant colony optimization, Ant lion optimizer, Artificial bee colony algorithm, Bat algorithm, Cat swarm optimization, Crow search algorithm, Cuckoo ...
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91 views

How does Friend-or-Foe Q-learning intuitively work?

I read about Q-Learning and was reading about multi-agent environments. I tried to read the paper Friend-or-Foe Q-learning, but could not understand anything, except for a very vague idea. What does ...
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44 views

Strong and Weak Dominance Table

I have this table, 2 agents and I want to find for each agent if any action is strongly or weakly dominated. This is the table: Now, i've found a solution but I'm not sure if it's correct. So for let'...
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71 views

Is there a measure of AI relative strength, modified by resources?

For instance Strength/Size*Speed, where size and speed refer to memory and processing. We now have very strong, narrow AI, but they tend to run on fast hardware without volume restrictions. To ...
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24 views

What are some strong algorithms for Perfect Information, Deterministic Multiplayer Games?

I have a series of games with the following properties: 3 or more players, but purely non-cooperative (i.e., no coalition forming); sequential moves; perfect information; deterministic state ...
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31 views

What is the size of 6-players no limit Texas holdem Poker?

What is the number of game states/information sets in 6-players, no limit, Texas Holdem? A year ago, Pularius reached a super-human level in 6-players no limit Holdem Poker. I am interested in the ...
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26 views

Minimax algorithm with only partial visibility

I'm trying to implement the minimax algorithm with alpha beta pruning on a game that works like this: Player 1 plays (x1, y1). Player 2 can only see the x-value (x1) that Player 1 played (and not ...
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53 views

Is Monte Carlo tree search guaranteed to converge to the optimal solution in two player zero-sum stochastic games?

I'm aware that convergence proofs for Monte Carlo tree search exist in the case of deterministic zero sum games and Markov decision processes. I have come across research which applies MCTS to zero-...
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43 views

Does Algorithmic Mechanism Design come under the field of AI?

I see many papers in AAMAS talk about artificial intelligence and mechanism design simultaneously. I was wondering, for the sake of being pedantic, is mechanism design could be classified under AI.
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77 views

How do you prove that minimax algorithm outputs a subgame-perfect Nash equilibrium?

At every node, MAX would always move to maximise the minimum payoff while MIN choose to minimise the maximum payoff, hence there is nash equilibrium. By using backwards induction, at every node, MAX ...
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30 views

What should be a good playing strategy in this 2-player simultaneous game?

This is a bot making problem from here. I am detailing the problem. The picture above shows the initial configuration of the game. P1 represents player1 and P2 represents player2. A scotch bottle is ...
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47 views

How can/should I use AI to populate a game (in the game theory sense) from text input

I'm wanting to conduct game theoretic analyses of ongoing conflict situations (e.g. the US/North Korea negotiations; Syrian conflict; etc) as reported in the news media. I believe that AI may help me ...
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50 views

What to study for this simple poker game?

I'm a programmer with a background in mathematics, but I have no experience whatsoever with artificial intelligence/neural networks. I'd like to study it as a hobby, and my goal for now is to solve ...
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51 views

Mini (local) NN for Mobile?

I'm working on architecture for a game AI where, due to the nature of the game, the classical approach seems likely be sufficient to beat most humans--the endgame is tractable and traditional game-...
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41 views

Computation of the counterfactual regret in CFR algorithm

I'm currently trying to understand the counterfactual regret minimization algorithm as presented in this document: http://modelai.gettysburg.edu/2013/cfr/cfr.pdf. I think I have a good understanding ...
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32 views

Are regret values in each block of MC external sampling stored in each node of the block we are traversing down (denoted by $\{Q_1,…, Q_n\}$)?

Everything I know about Monte Carlo counterfactual regret minimization (CFR) comes from the paper Monte Carlo Sampling for Regret Minimization in Extensive Games by Marc Lanctot et al. So, I will use ...
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59 views

When is shallow pruning possible in alpha-beta pruning for multi-player games?

I have read up on some research papers that state that shallow pruning is possible when ...